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Finding the Fourth Proportional to 8,411.09, 12,616.58 and 3,147.42

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Solution

The fourth proportional to 8,411.09, 12,616.58 and 3,147.42 is: 4,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.09 : 12,616.58 = 3,147.42 : x
  2. Step 2: Convert to fraction form
    8,411.09/12,616.58 = 3,147.42/x
  3. Step 3: Cross multiply
    8,411.09x = 12,616.58 × 3,147.42
  4. Step 4: Simplify right side
    8,411.09x = 39,709,660.49
  5. Step 5: Solve for x
    x = 39,709,660.49/8,411.09
  6. Step 6: Final answer
    x = 4,721.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.